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The orbit space of the p-subgroup complex is contractible

✍ Scribed by Symonds, P.


Book ID
113013980
Publisher
European Mathematical Society
Year
1998
Tongue
English
Weight
200 KB
Volume
73
Category
Article
ISSN
0010-2571

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On Contractibility of the Orbit Space of
✍ Laurence Barker πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 67 KB

Given a p-block b of a finite group G, we show that the G-poset of Brauer pairs Ε½ . strictly containing 1, b has contractible G-orbit space. A similar result is proved for certain G-posets of p-subgroups. Both results generalise P. Symonds' verification of a conjecture of P. Webb.